A standardized test for graduate school admission has a mean score of 160 with a standard deviation of 9 and a unimodal, symmetric distribution o scores. A test preparation organization teaches small classes of 9 students at a time. A larger organization teaches classes of 64 at a time. Both organizations publish the mean scores of all their classes. Complete parts a through c below. OB. The distribution for the larger organization will be approximately Normal with a mean of 160. The sample size for the smaller organization is too small for the Central Limit Theorem to apply. C. Both distributions will be approximately Normal with a mean of 160. OD. The distributions cannot be determined, since the Central Limit Theorem does not apply. b) If either organization has a graduating class with a mean score of 169, they'll take out a full-page ad in the local school paper to advertise. Which organization is more likely to have that success? Explain. A mean score of 169 is SD above the mean for the smaller organization, and SD above the mean for the larger organization. It is more likely that the (Round to two decimal places as needed.) V organization will have that success.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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